On differentiation of integrals\cr in the infinite-dimensional torus
| Autor: | Dariusz Kosz |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Studia Mathematica. 258:103-119 |
| ISSN: | 1730-6337 0039-3223 |
| DOI: | 10.4064/sm191001-10-2 |
| Popis: | We answer the recently posed questions regarding the problem of differentiation of integrals for the Rubio de Francia basis $\mathcal{R}$ in the infinite torus $\mathbb{T}^\omega$. In particular, we prove that $\mathcal{R}$ does not differentiate $L^\infty(\mathbb{T}^\omega)$. Some remarks about differentiation in the context of arbitrary bases are also included. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|